For any non zero integer 'a', a^ m=1/a^m, where 'm' is a positive integer. ⇒ a^m=1/a^ m or, 1/a^ m= a^m Comapring 1/y^ 100 with the above, we get, 1/y^ 100=y^1 ...

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1/y-100=

Question

$\frac{1}{y^{- 100}} =$ _____

y^{100}

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\frac{1}{y^{100}}

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y^{- 100}

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- y^{100}

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Solution

The correct option is A $y^{100}$
For any non-zero integer 'a',
$a^{- m} = \frac{1}{a^{m}}$ ,
where 'm' is a positive integer.
$\Rightarrow a^{m} = \frac{1}{a^{- m}}$
or, $\frac{1}{a^{- m}} = a^{m}$

Comapring $\frac{1}{y^{- 100}}$ with the above, we get,
$\frac{1}{y^{- 100}} = y^{100}$

Alternately,

Since $a^{- m} = \frac{1}{a^{m}} or a^{m} = \frac{1}{a^{- m}},$

$\frac{1}{y^{- 100}} = \frac{1}{(\frac{1}{y^{- (- 100)}})}$

$= \frac{1}{(\frac{1}{y^{100}})}$

$= \frac{1}{y^{100}}$

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1y−100= _____

The correct option is A y100For any non-zero integer 'a', a−m=1am, where 'm' is a positive integer. ⇒am=1a−m or, 1a−m=am Comapring 1y−100 with the above, we get, 1y−100=y100 Alternately, Since a−m=1am or am=1a−m, 1y−100=1(1y−(−100)) =1(1y100) =1y100

$\frac{1}{y^{- 100}} =$ _____